Conics and Cubics: A Concrete Introduction to Algebraic Curves - Couverture souple

Livre 23 sur 163: Undergraduate Texts in Mathematics

Bix, Robert

 
9781441921789: Conics and Cubics: A Concrete Introduction to Algebraic Curves
Couverture souple
ISBN 10 : 1441921788 ISBN 13 : 9781441921789
Editeur : Springer, 2010

Synopsis

Conics and Cubics is an accessible introduction to algebraic curves. Its focus on curves of degree at most three keeps results tangible and proofs transparent. Theorems follow naturally from high school algebra and two key ideas, homogeneous coordinates and intersection multiplicities.

By classifying irreducible cubics over the real numbers and proving that their points form Abelian groups, the book gives readers easy access to the study of elliptic curves. It includes a simple proof of Bezout’s Theorem on the number of intersections of two curves.

The book is a text for a one-semester course. The course can serve either as the one undergraduate geometry course taken by mathematics majors in general or as a sequel to college geometry for prospective or current teachers of secondary school mathematics. The only prerequisite is first-year calculus.

The new edition additionally discusses the use of power series to parametrize curves and analyze intersection multiplicities and envelopes.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2010
Langue
anglais
ISBN 10 
1441921788
ISBN 13 
9781441921789
Reliure
Broché
Nombre de pages
356
Coordonnées du fabricant
non disponible
Personne responsable
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Hamburg
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Autres éditions populaires du même titre

9780387318028: Conics And Cubics: A Concrete Introduction to Algebraic Curves

Edition présentée

ISBN 10 :  038731802X ISBN 13 :  9780387318028
Editeur : Springer-Verlag New York Inc., 2006
Couverture rigide